{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\1. 对连续型特征，可以用哪个函数可视化其分布？（给出你最常用的一个即可），并根据代码运行结果给出示例。\n",
    "\n",
    "答：对于连续型特征一般采用seaborn.displot函数进行可视化分布，用plt.plot，hist函数也可以，seaborn.displotplt可以同时观察拟合曲线的效果。distplot绘图的纵轴为样本的比例，hist方法绘图的纵轴为样本数目。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x26eecccc488>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 目标y（房屋价格）的直方图／分布\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "df = pd.read_csv(\"boston_housing.csv\")  # 导入数据集\n",
    "\n",
    "# df[('MEDV')].hist()\n",
    "# df[('MEDV')].plot()\n",
    "# df[features].hist()\n",
    "sns.distplot(df['MEDV'], bins=30, kde=True) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\2. 对两个连续型特征，可以用哪个函数得到这两个特征之间的相关性？根据代码运行结果，给出示例。\n",
    "\n",
    "答：使用corr()函数可以得到相关性，使用heatmap可以得到热力图，观察相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x26eec2e3508>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "df = pd.read_csv(\"boston_housing.csv\")  # 导入数据集\n",
    "\n",
    "cols = df.columns \n",
    "\n",
    "data_corr = df.corr()\n",
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\3. 如果发现特征之间有较强的相关性，在选择线性回归模型时应该采取什么措施。\n",
    "\n",
    "答：如果发现特征之间有较强的相关性，可以考虑在特征层面上进行PCA降维处理，在模型层面可以加正则项。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\4. 当采用带正则的模型以及采用随机梯度下降优化算法时，需要对输入（连续型）特征进行去量纲预处理。课程代码给出了用标准化（StandardScaler）的结果，请改成最小最大缩放（MinMaxScaler）去量纲 ，并重新训练最小二乘线性回归、岭回归、和Lasso模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 数据标准化\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "\n",
    "df = pd.read_csv(\"boston_housing.csv\")  # 导入数据集\n",
    "\n",
    "y = df[\"MEDV\"]\n",
    "\n",
    "X = df.drop([\"MEDV\"], axis = 1)\n",
    "\n",
    "feat_names = X.columns\n",
    "\n",
    "\n",
    "# 分别初始化对特征和目标值的标准化器\n",
    "ss_X = MinMaxScaler()\n",
    "ss_y = MinMaxScaler()\n",
    "\n",
    "# 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "# 对训练数据，先调用fit方法训练模型，得到模型参数；然后对训练数据和测试数据进行transform\n",
    "X = ss_X.fit_transform(X)\n",
    "\n",
    "#对y做标准化不是必须\n",
    "#对y标准化的好处是不同问题的w差异不太大，同时正则参数的范围也有限\n",
    "y = ss_y.fit_transform(y.values.reshape(-1,1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 训练最小二乘"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LinearRegression on test is 0.690295955089836\n",
      "The r2 score of LinearRegression on train is 0.7451448367308489\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "lr = LinearRegression()\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)\n",
    "\n",
    "lr.fit(X_train, y_train)#训练模型\n",
    "\n",
    "y_test_pred_lr = lr.predict(X_test)\n",
    "y_train_pred_lr = lr.predict(X_train)\n",
    "\n",
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print ('The r2 score of LinearRegression on test is', r2_score(y_test, y_test_pred_lr))\n",
    "#训练集\n",
    "print ('The r2 score of LinearRegression on train is', r2_score(y_train, y_train_pred_lr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 训练岭回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of RidgeCV on test is 0.6929146520257555\n",
      "The r2 score of RidgeCV on train is 0.7450810988477301\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import RidgeCV\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "# 1.设置超参数（正则参数）范围\n",
    "# alphas = [0.01, 0.1, 1, 10, 100]\n",
    "\n",
    "# 2.生成一个RidgeCV实例\n",
    "# ridge = RidgeCV(alphas=alphas, store_cv_values=True)\n",
    "ridge = RidgeCV()\n",
    "\n",
    "# 3.分割测试集和训练集\n",
    "# X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)\n",
    "\n",
    "#4.训练模型\n",
    "ridge.fit(X_train, y_train)#训练模型\n",
    "\n",
    "#5.预测模型\n",
    "y_test_pred_ridge = ridge.predict(X_test)\n",
    "y_train_pred_ridge = ridge.predict(X_train)\n",
    "\n",
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print ('The r2 score of RidgeCV on test is', r2_score(y_test, y_test_pred_ridge))\n",
    "#训练集\n",
    "print ('The r2 score of RidgeCV on train is', r2_score(y_train, y_train_pred_ridge))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 训练Lasso回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LassoCV on test is 0.6928010684679107\n",
      "The r2 score of LassoCV on train is 0.7447367213991007\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\python\\lib\\site-packages\\sklearn\\linear_model\\_coordinate_descent.py:1088: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LassoCV\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "#1. 设置超参数搜索范围\n",
    "#alphas = [ 0.01, 0.1, 1, 10,100]\n",
    "\n",
    "#2. 生成学习器实例\n",
    "#lasso = LassoCV(alphas=alphas)\n",
    "lasso = LassoCV()\n",
    "\n",
    "# 3.分割测试集和训练集\n",
    "# X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)\n",
    "\n",
    "#4.训练模型\n",
    "lasso.fit(X_train, y_train)\n",
    "\n",
    "#5.预测模型\n",
    "y_test_pred_lasso = lasso.predict(X_test)\n",
    "y_train_pred_lasso = lasso.predict(X_train)\n",
    "\n",
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print ('The r2 score of LassoCV on test is', r2_score(y_test, y_test_pred_lasso))\n",
    "#训练集\n",
    "print ('The r2 score of LassoCV on train is', r2_score(y_train, y_train_pred_lasso))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\5. 代码中给出了岭回归（RidgeCV）和Lasso（LassoCV）超参数（alpha_）调优的过程，请结合两个最佳模型以及最小二乘线性回归模型的结果，给出什么场合应该用岭回归，什么场合用Lasso，什么场合用最小二乘。\n",
    "\n",
    "答：由上题cell单元中的运行结果：\n",
    "\n",
    "**最小二乘线性回归**结果：\n",
    "\n",
    "    The r2 score of LinearRegression on test is 0.690295955089836\n",
    "    The r2 score of LinearRegression on train is 0.7451448367308489  \n",
    "根据最小二乘线性回归的解(XTX)−1XTY，需要对矩阵XTX求逆。当输入特征存在共线性（某些特征可以用其他特征的线性组合表示），矩阵X是接近不满秩，矩阵XTX接近奇异，求逆不稳定，所以结果不会很理想。所以最小二乘线性回归适用于**特征之间不存在共线性**的情况。由于最小二乘与其他两个模型相比未加正则项，只考虑了对训练样本的拟合程度，故在训练集上的结果最好。\n",
    "\n",
    "**岭回归**模型评价结果如下：\n",
    "\n",
    "    The r2 score of RidgeCV on test is 0.6929146520257555\n",
    "    The r2 score of RidgeCV on train is 0.7450810988477301  \n",
    "从结果来看，岭回归虽然在训练集上的效果不如最小二乘线性回归，但在测试集上的效果却要更好一些。岭回归由于加入了L2正则项，通过alpha参数的调节，可以平衡拟合程度和模型复杂度之间的关系，岭回归的解为：(XTX+λI)−1XTY即使在输入特征存在共线性，矩阵X是接近不满秩，矩阵XTX对角线存在等于0或接近于0的元素，但0+λ≠0，(XTX+λI)求逆仍可得到稳定解。因此岭回归适用于输入**特征存在共线性的情况**。\n",
    "\n",
    "**Lasso回归**模型评价结果如下：\n",
    "\n",
    "    The r2 score of LassoCV on test is 0.6928010684679107\n",
    "    The r2 score of LassoCV on train is 0.7447367213991007\n",
    "从结果来看，Lasso回归模型同样在训练集上的效果不如最小二乘线性回归，但在测试集上的效果却要更好一些，但在此特征下不如岭回归。Lasso回归中的L1正则同岭回归的L2正则一样是用来平衡拟合程度和模型复杂度的，但当正则参数取合适值时，L1正则能使有些线性回归系数为0,得到稀疏模型。所以，Lasso回归模型适用于，当**输入特征多，有些特征与目标变量之间相关性很弱时**，L1正则可能只选择强相关的特征，模型解释性好。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
